Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121900395156000.smt2

These benchmarks were generated while developing the tool Pine [1], which uses
CVC4/Z3 to check inductiveness of invariants. The work is described in [2].

[1] https://github.com/izycheva/pine
[2] A.Izycheva, E.Darulova, H.Seidl, SAS'20, "Counterexample- and Simulation-Guided Floating-Point Loop Invariant Synthesis"

 Loop:
   u' := u + 0.01 * v
   v' := v + 0.01 * (-0.5 * v - 9.81 * (u - (u*u*u)/6.0 + (u*u*u*u*u)/120.0))

 Input ranges:
   u in [0.0,0.0]
   v in [2.0,3.0]

 Invariant:
   -0.15*u + -0.03*v + 1.0*u^2 + 0.03*u*v + 0.1*v^2 <= 0.86
 and
   u in [-0.9,1.0]
   v in [-2.8,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size2018
Compressed Size972
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categoryindustrial
First Occurrence2021-07-18
Generated ByAnastasiia Izycheva, Eva Darulova
Generated On2020-09-11 00:00:00
GeneratorPine (using Z3 Python API)
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status unknown
Inferred Status sat
Size 2010
Compressed Size985
Max. Term Depth17
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 =2 let9
/20 +11 -11 *26
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.60 (4/10) CVC4 CVC4-sq-final_default unknown ❌ 1200.02000 1199.93000
cvc5 cvc5-fixed_default sat ✅ 0.29114 0.29126
Par4 Par4-wrapped-sq_default sat ✅ 0.04882 0.00638
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.07000 1203.76000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.03000 4647.18000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.08982 0.08987
Z3 z3-4.8.11_default sat ✅ 0.05504 0.05515
z3-4.8.8_default sat ✅ 0.06920 0.06923
SMT-COMP 2022 0.22 (7/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 600.25900 600.26000
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.06000 1199.93000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.16431 0.15426
Par4 Par4-wrapped-sq_default sat ✅ 0.05781 0.00764
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.08743 0.08741
veriT veriT+raSAT+Redlog_default unknown ❌ 0.01101 0.00820
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.07902 0.07893
Z3 z3-4.8.17_default sat ✅ 0.05539 0.05734
Z3++ z3++0715_default sat ✅ 0.34808 0.34813
SMT-COMP 2023 0.14 (6/7) cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 900.25800 900.08000
NRA-LS cvc5-NRA-LS-sq_default unknown ❌ 1170.06000 1169.89000
Par4 Par4-wrapped-sq_default sat ✅ 0.07393 0.00634
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.07980 0.07977
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.06733 0.06729
Z3alpha z3alpha_default sat ✅ 0.09202 0.09226
Z3++ z3++0715_default sat ✅ 0.35418 0.35425
Z3++_sq_0526_default sat ✅ 0.35694 0.35684